When I tried finding the OWA (Outlook Web App) web parts within the SharePoint 2013 OOTB web parts, I could not notice the web parts and Outlook web App category is also not available. I used to be thinking it’s deprecated or not available in SharePoint 2013.
After looking, I found the following solution. Steps to add Outlook web parts:
1. Go to web part Gallery.
2. On web part Gallery page, Click Files -> New Document -> New within the ribbon.
3. On New web part page (NewDWp.aspx), search for Microsoft.SharePoint.Portal.WebControls.OWA, choose the web parts related to the outlook as shown below and populate gallery.
4.Now, below Miscellaneous category, you may see the web parts related to Outlook.
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